A PBH with an initial mass smaller than \(10^9\)  g (i.e., light PBH) can completely evaporate before BBN [1]}, [2]}, [3]} and does not affect the successful formation of light elements in BBN. Additionally, because the Hubble parameter \(H(t)\)  at time \(t\)  is less than or equal to the Hubble parameter during inflation, we obtain the lower limit of the initial mass of PBH as \(M_{\rm PBH} \gtrsim 0.1\)  g [1]}. Thus, we set the mass of light PBHs as \(0.1 \ {\rm g} \le M_{\rm PBH} \le 10^9 \ {\rm g}\) .
